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Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D f(x + h) – f(x) Simplify the difference quotient, f(x + h) – f(x) %3D h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(r + h) - f(x) f'(x) = lim

Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D f(x + h) – f(x) Simplify the difference quotient, f(x + h) – f(x) %3D h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(r + h) - f(x) f'(x) = lim

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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Suppose that f is a function given as f(x) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D f(x + h) – f(x) Simplify the difference quotient, h f(x + h) – f(x) %3D h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(r + h) - f(x) f'(x) = lim
Transcribed Image Text:Suppose that f is a function given as f(x) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D f(x + h) – f(x) Simplify the difference quotient, h f(x + h) – f(x) %3D h The derivative of the function at r is the limit of the difference quotient as h approaches zero. f(r + h) - f(x) f'(x) = lim
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